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# If 0 < x < y < 10, then A(x, y) represents the area of the r

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If 0 < x < y < 10, then A(x, y) represents the area of the r [#permalink]  27 Nov 2019, 11:22
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65% (01:39) correct 34% (00:46) wrong based on 44 sessions
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#greprepclub If 0 x y 10, then A(x, y) represents the area .jpg [ 20.03 KiB | Viewed 1261 times ]

If $$0 < x < y < 10$$, then $$A(x, y)$$ represents the area of the region bounded by the number line, the semi-circle, and the vertical segments at $$x$$ and $$y$$, as indicated by the shaded region.

$$0 < a < b < c < 10$$

 Quantity A Quantity B $$A(a, b) + A(b, c)$$ $$A(a, c)$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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[Reveal] Spoiler: OA

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Re: If 0 < x < y < 10, then A(x, y) represents the area of the r [#permalink]  14 Jan 2020, 07:29
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Refer attached figure

A(a,b) is Area of the shaded region in blue + A(b,c) is the area of the shaded region in green
Clearly sum of these two is equal to the area of the shaded region in red = A(a,c)
So, both quantities are equal.
Hope it helps!
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Re: If 0 < x < y < 10, then A(x, y) represents the area of the r [#permalink]  15 Jan 2020, 02:49
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If you visualize the question in your mind then: A(a,b)+A(b,c)= area between a and c
A(a,c)= area between a and c

Re: If 0 < x < y < 10, then A(x, y) represents the area of the r   [#permalink] 15 Jan 2020, 02:49
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